My strategy is to switch one of the farms to tobacco/sugar/coffee (respectively), and another to pineapple/banana/papaya (respectively), leaving one corn farm, and build another two farms, one corn, and one of cash kind.
Then I go and build half a dozen bunk houses, clinic and roads, then, as money start to get in, I build marketplace then pub, afterwards ranch and fisherman's wharf.
Simultaneously I give them food for all, litter ordinance and pensions. As money start to flow in more and more, there soon are blue houses and country houses, logging camp, another clinic and second dock, and a min as well if there's enough minerals close enough.
If I'm still president at that point (it's usually around mid 60's), I'm going after college, church and university and industry, starting with furniture and canning.
After that, there comes second construction, teamsters and marketplace, together with restaurant and night club, and some cheap hotel (there already are some bungalows), with a bank and souvenir shop.
Working my way to the mid 70's, I build diplomatic ministry and immigration office.
In the 80's I usually build electric plant, develop historical sites, build spa's, tennis courts and all fancy tourists mambo-jumbo.
Well, that's it, and providing I managed to get alive through all this, I have enough money to start build airport as well.
Perhaps my strategy is not very succesfull, because, at least until now, due to timeline, I never managed to get functional airport before Y2K...

And yet another thing - I never succeded to win third elections without adjusting the results, or skipping those third elections.
Never got to the stage I could build cathedral or stadion or luxury houses... Maybe I'll need more time... or more starting citizens (I start with 30 of them, game lenght 50 years...)
Allright, enough blabbing... let's govern those darn Tropicans!
Bribe 'em all! Eliminate 'em all! Prohibition all the way! No election at all! Hey! I'm your president! You can't do that! I'm not a lunatic! I'm sane! Hey! Where are you taking me!?! Ammgrhfpfghrmmmmm...